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Question

If is a nonzero vector of magnitude ‘ a ’ and λ a nonzero scalar, then λ is unit vector if (A) λ = 1 (B) λ = –1 (C) (D)

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Solution

The given a is a non zero vector of magnitude a and λ, a non-zero scalar.

Unit vector has magnitude 1.

So,

| λ a |=1 | λ || a |=1 | a |= 1 | λ |

Thus, vector λ a is a unit vector, if | a |= 1 | λ | .


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